Least Common Multiple of 806 and 810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 806 and 810 the smallest integer that is 326430 that is divisible by both numbers.

Least Common Multiple (LCM) of 806 and 810 is 326430.

LCM(806,810) = 326430

LCM of 806 and 810

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 806 and 810

LCM of 806 and 810 is 326430

Least common multiple can be found by multiplying the highest exponent prime factors of 806 and 810. First we will calculate the prime factors of 806 and 810.

Prime Factorization of 806


2 806
13 403
31 31
1

Prime factors of 806 are 2, 13,31. Prime factorization of 806 in exponential form is:

806 = 21×131×311

Prime Factorization of 810


2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 810 are 2, 3,5. Prime factorization of 810 in exponential form is:

810 = 21×34×51

Now multiplying the highest exponent prime factors to calculate the LCM of 806 and 810.

LCM(806,810) = 21×34×51×131×311
LCM(806,810) = 326430

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Least Common Multiple of 806 and 810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 806 and 810, than apply into the LCM equation.

GCF(806,810) = 2
LCM(806,810) = ( 806 × 810) / 2
LCM(806,810) = 652860 / 2
LCM(806,810) = 326430

Properties of LCM 806 and 810

(i) The LCM of 810 and 806 is associative

LCM of 806 and 810 = LCM of 810 and 806

Related Least Common Multiples of 806

Related Least Common Multiples of 810

Frequently Asked Questions on LCM of 806 and 810

1. What is the LCM of 806 and 810?

Answer: LCM of 806 and 810 is 326430.

2. What are the Factors of 806?

Answer: Factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806. There are 8 integers that are factors of 806. The greatest factor of 806 is 806.

3. What are the Factors of 810?

Answer: Factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810. There are 20 integers that are factors of 810. The greatest factor of 810 is 810.

4. How to Find the LCM of 806 and 810?

Answer:

Least Common Multiple of 806 and 810 = 326430

Step 1: Find the prime factorization of 806

806 = 2 x 13 x 31

Step 2: Find the prime factorization of 810

810 = 2 x 3 x 3 x 3 x 3 x 5

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 326430 = 2 x 3 x 3 x 3 x 3 x 5 x 13 x 31

Step 4: Therefore, the least common multiple of 806 and 810 is 326430.